Search a number
-
+
10495789164 = 22387193197
BaseRepresentation
bin10011100011001100…
…10000100001101100
31000002110200100000000
421301212100201230
5132443410223124
64453253104300
7521044510260
oct116146204154
930073610000
1010495789164
1144a6665823
12204b028090
13cb3629a43
14717d400a0
154166936c9
hex27199086c

10495789164 has 432 divisors, whose sum is σ = 34564741120. Its totient is φ = 2720977920.

The previous prime is 10495789163. The next prime is 10495789181. The reversal of 10495789164 is 46198759401.

10495789164 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 578 + 9 + 1 + 64 = 666.

It is a super-2 number, since 2×104957891642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10495789164.

It is not an unprimeable number, because it can be changed into a prime (10495789163) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108203964 + ... + 108204060.

Almost surely, 210495789164 is an apocalyptic number.

10495789164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10495789164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17282370560).

10495789164 is an abundant number, since it is smaller than the sum of its proper divisors (24068951956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10495789164 is an equidigital number, since it uses as much as digits as its factorization.

10495789164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 10495789164 in words is "ten billion, four hundred ninety-five million, seven hundred eighty-nine thousand, one hundred sixty-four".